85577 has 2 divisors, whose sum is σ = 85578. Its totient is φ = 85576.

The previous prime is 85571. The next prime is 85597. The reversal of 85577 is 77558.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67081 + 18496 = 259^2 + 136^2 .

It is a cyclic number.

It is not a de Polignac number, because 85577 - 2⁶ = 85513 is a prime.

It is not a weakly prime, because it can be changed into another prime (85571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42788 + 42789.

It is an arithmetic number, because the mean of its divisors is an integer number (42789).

2⁸⁵⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

85577 is a deficient number, since it is larger than the sum of its proper divisors (1).

85577 is an equidigital number, since it uses as much as digits as its factorization.

85577 is an evil number, because the sum of its binary digits is even.

The product of its digits is 9800, while the sum is 32.

The square root of 85577 is about 292.5354679351. The cubic root of 85577 is about 44.0675614963.

The spelling of 85577 in words is "eighty-five thousand, five hundred seventy-seven".